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12216080448 = 263611131831
BaseRepresentation
bin10110110000010001…
…01001100001000000
31011112100201012000000
423120020221201000
5200004304033243
65340105000000
7611503653615
oct133010514100
934470635000
1012216080448
1151a9728060
12244b183000
1311c8b5c190
1483c5c850c
154b77045d3
hex2d8229840

12216080448 has 392 divisors, whose sum is σ = 42722694336. Its totient is φ = 3415219200.

The previous prime is 12216080369. The next prime is 12216080467. The reversal of 12216080448 is 84408061221.

12216080448 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 608 + 0 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6670893 + ... + 6672723.

Almost surely, 212216080448 is an apocalyptic number.

12216080448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361347168).

12216080448 is an abundant number, since it is smaller than the sum of its proper divisors (30506613888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12216080448 is a wasteful number, since it uses less digits than its factorization.

12216080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12216080448 in words is "twelve billion, two hundred sixteen million, eighty thousand, four hundred forty-eight".